<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Document</title>
    <script src="https://cdn.jsdelivr.net/npm/vue/dist/vue.js"></script>
</head>
<body>
    <div id="app">
        <input v-model="mytext">

        <ul v-for="item in getList"> 
            <li>{{ item }}</li>
        </ul>
    </div>

    <script>
        let vm = new Vue({
            el: '#app',
            data: {
                mytext: '',
                list: ["aaa","bbb","ccc","ddd","add","cee","eee"] 
            },
            computed: {
                getList(){
                    return this.list.filter( item => item.indexOf(this.mytext) !== -1 )
                }
            }
        })
    </script>
</body>
</html>